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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
2*x-(7/x) < 2 // - 2
2*x-(7/x)-2 < 0
2*x-7*x^-1-2 < 0
2*x-7*x^-1-2 = 0
2*x^1-7*x^-1-2*x^0 = 0
(2*x^2-2*x^1-7*x^0)/(x^1) = 0 // * x^2
x^1*(2*x^2-2*x^1-7*x^0) = 0
x^1
2*x^2-2*x-7 = 0
2*x^2-2*x-7 = 0
DELTA = (-2)^2-(-7*2*4)
DELTA = 60
DELTA > 0
x = (60^(1/2)+2)/(2*2) or x = (2-60^(1/2))/(2*2)
x = (2*15^(1/2)+2)/4 or x = (2-2*15^(1/2))/4
x in { (2-2*15^(1/2))/4, (2*15^(1/2)+2)/4}
(x-((2-2*15^(1/2))/4))*(x-((2*15^(1/2)+2)/4)) < 0
(-oo:(2-2*15^(1/2))/4) ((2-2*15^(1/2))/4:(2*15^(1/2)+2)/4) ((2*15^(1/2)+2)/4:+oo) x-((2-2*15^(1/2))/4) - + + x-((2*15^(1/2)+2)/4) - - +
x in ((2-2*15^(1/2))/4:0) U (0:(2*15^(1/2)+2)/4)
((2-2*15^(1/2))/4:0) U (0:(2*15^(1/2)+2)/4)
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